Abstract
We investigate two different textures of smectic A liquid crystals. These textures are particularly symmetric when they are observed at crossed polars optical microscopy. For both textures, a model has been made in order to examine the link between the defective macroscopic texture and the microscopic disposition of the layers. We present in particular in the case of some hexagonal tiling of circles (similar to the Apollonius tiling) some numeric simulation in order to visualize the smectic layers. We discuss of the nature of the smectic layers, which permit to assure their continuity from one focal conic domain to another adjacent one.
Highlights
During many years the problem of the Apollonius tiling has interested a great number of scientists.Many well known mathematicians and physicists have worked on this for several hundred years
The physical hyperbolae seem to be directed outwards of the droplet so that the habit cone of revolution with apex M, axis Mt that lies on the physical branches of the hyperbolae is not relevant
Some textures of liquid crystals have been reported in this paper: the flower texture and the generation texture
Summary
During many years the problem of the Apollonius tiling has interested a great number of scientists. Many well known mathematicians and physicists have worked on this for several hundred years. L. Bragg [1], F. Soddy [2], H.S.M. Coxeter [3], R. Beecroft [5], and more recently P. G. De Gennes [6], whose works have a great importance in Soft Matter Physics.
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
